Mathematics of Juggling

ABSTRACT: This paper lays down the foundations for the mathematics of
juggling starting with the continuity axiom and defining multi-hand
notation, which describes a large class of juggling patterns. Several
theorems are stated and proven using these definitions and the axiom of
continuity. One need not know how to juggle to appreciate these ideas.
The mathematics is interesting by itself and can be appreciated by the
non-juggler as well as the juggler.

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